*4.4. Assessment of local Nusselt Number*

In Table 1, one can see that a good agreemen<sup>t</sup> is found between the present results and previous literature. A very good agreemen<sup>t</sup> is found in RK-45 results; however, the results of HAM are a little different but the variation trend is similar in all the cases. Table 2 presents the significance of physical parameters through local Nusselt number *Nu* for axisymmetric Marangoni convective flow of Casson liquid over an infinite disk with the impact of an inclined MHD. Near the wall or boundary, Nusselt number has a dominant role, for the computation of thermal profile variations. The numerical quantities of Nusselt number is supportive to convey the cumulative tendency of temperature gradient in flow domain. It is observed in the table that rises in the Marangoni convective fluid parameter, *Ma*, Marangoni ratio, *Ra*, and *N*2 monotonically decrease the Nusselt number *Nu* by keeping other fluid parameters fixed. On the other hand, the parameters *N*1, Pr, *B*1 and *Le* manifest rises in heat flux behavior *Nu*. The small increase on average Nusselt number indicates that greater heat exchange rate occurs near boundary of the disk due to these parameters.


**Table 1.** Comparison table of current results with previously published literature setting the additional parameters equals to zero.


**Table 2.** Numeric values of local Nusselt parameter *Nu* for distinct values of sundry parameter where *β*1 = 1.5, *M*1 = 1.0, *Ec* = 0.8 and *α*1 = *π*/5.
